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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions

2 votes
0 answers
653 views

Existence of a Frobenius endomorphism of ramified extensions with unperfect residual field

Let $K$ be a complete valued field extension of $\mathbb{Q}_p$ with possibly imperfect residual field $k$. Assume that there exists a ring endomorphism $\sigma: K\to K$ lifting the $p$-th power map of …
PULITA ANDREA's user avatar
5 votes

Differential structures on unit-root Frobenius modules

The fact that the Frobenius produces a differential equation is classical. Dwork was the first to find it out. As an reference in your exact context you have the paper of Fontaine in the Grothendieck …
PULITA ANDREA's user avatar